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Finding the Third Proportional to 11,016 and 11,961

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Solution

The third proportional to 11,016 and 11,961 is: 12,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016 : 11,961 = 11,961 : x
  2. Step 2: Convert to fraction form
    11,016/11,961 = 11,961/x
  3. Step 3: Cross multiply
    11,016x = 11,961 × 11,961
  4. Step 4: Simplify right side
    11,016x = 143,065,521
  5. Step 5: Solve for x
    x = 143,065,521/11,016
  6. Step 6: Final answer
    x = 12,987.07

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.